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Adamo 2020-12-23 14:34:03 -05:00
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lecture_notes/1-27/Expectation Value Time Dependence
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@ -14,3 +14,16 @@ Computed Derivative d/dt <Â>:
ħ dt ħ dt
Computed Derivative (pic) d/dt <Â> (pic)
Discovered/Introduced Commutator
Cpmpatible Observables occur when commutator is equal to 0.
[Ĥ,Â] = ĤÂ - ÂĤ
Constant of Motion
------------------
if d/dt  = 0 and [Ĥ,Â] = 0,
then  is a constant of motion
Thm: Two operators such that [Â,B̂] always have common Eigenstates